An optimal algorithm for solving the dynamic lot-sizing model with learning and forgetting in setups and production

International Journal of Production Economics

Volumn 95, Issue 2, 2005, Pages 179-193

  Chiu, Huan Neng ^a   Chen, Hsin Min ^b  

^a NATIONAL TAIWAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Taiwan)

^b NATIONAL UNITED UNIVERSITY   (Taiwan)

Author keywords

Dynamic lot sizing model; FIFO inventory costing method; Learning and forgetting effects

Indexed keywords

ALGORITHMS; COSTS; INDUSTRIAL MANAGEMENT; INVENTORY CONTROL; LEARNING SYSTEMS; MATHEMATICAL MODELS; PROBLEM SOLVING; STRATEGIC PLANNING;

DYNAMIC LOT-SIZING MODEL; FIRST-IN-FIRST-OUT (FIFO) INVENTORY COSTING METHOD; LEARNING AND FORGETTING EFFECTS; MULTI-DIMENSIONAL FORWARD DYNAMIC PROGRAMMING (MDFDP);

PRODUCTION CONTROL;

EID: 11844294635     PISSN: 09255273     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijpe.2003.12.001     Document Type: Article

References (25)

1. Adler G.L., Nanda R. The effects of learning on optimal lot size determination - single product case. AIIE Transactions. 6:1974;14-20
2. Anderlohr G. What production breaks cost. Industrial Engineering. 1:1969;34-36
3. Axsäter S., Elmaghraby S.E. A note on EMQ under learning and forgetting. AIIE Transactions. 13:1981;86-90
4. Carlson J.G.H. Learning lost time and economic production. Production and Inventory Management. 16:1975;20-33
5. Chand S., Sethi S.P. A dynamic lot sizing model with learning in setups. Operations Research. 38:1990;644-655
6. Chiu H.N. Discrete time-varying demand lot-sizing models with learning and forgetting effects. Production Planning and Control. 8:1997;484-493
7. Cochran E.B. Dynamics of work standards. Manufacturing Engineering and Management. 7:1973;28-31
8. Dar-El, E.M., 2000. Human Learning: From Learning Curves to Learning Organizations. Kluwer Academic Publishers, Boston/Dordrecht/London.
9. Elmaghraby S.E. Economic manufacturing quantities under conditions of learning and forgetting. Production Planning and Control. 1:1990;196-208
10. Globerson S., Levin N., Shtub A. The impact of breaks on forgetting when performing a repetitive task. IIE Transactions. 21:1989;376-381
11. Jaber M.Y., Bonney M. Production breaks and the learning curve: The forgetting phenomenon. Applied Mathematical Modelling. 53:1996;1-11
12. Jaber M.Y., Bonney M. The effect of learning and forgetting on the economic manufactured quantity with the consideration of intracycle backorders. International Journal of Production Economics. 53:1997;1-11
13. Jaber M.Y., Bonney M. A comparative study of learning curves with forgetting. Applied Mathematical Modelling. 21:1997;523-531
14. Jaber M.Y., Bonney M. The effects of learning and forgetting on the optimal lot size quantity of intermittent production runs. Production Planning and Control. 9:1998;20-27
15. Jaber M.Y., Bonney M. The economic manufacture/order (EMQ/EOQ) and the learning curve: Past, present, and future. International Journal of Production Economics. 59:1999;93-102
16. Jaber M.Y., Bonney M. Economic lot sizing with learning and continuous time discounting: Is it significant? International Journal of Production Economics. 71:2001;135-143
17. Jaber M.Y., Kher H.V. The two-phased learning-forgetting model. International Journal of Production Economics. 76:2002;229-242
18. Keachie E.C., Fontana R.J. Effects of learning on optimal lot size. Management Science. 13:1966;B102-B108
19. Li C.L., Cheng T.C.E. An economic production quantity model with learning and forgetting considerations. Production and Operations Management. 3:1994;118-132
20. Spradlin B.C., Pierce D.A. Production scheduling under a learning effect by dynamic programming. Journal of Industrial Engineering. 18:1967;219-222
21. Sule D.R. The effect of alternate periods of learning and forgetting on economic manufacturing quantity. AIIE Transactions. 10:1978;338-343
22. Sule D.R. A note on production time variation in determining EMQ under influence of learning and forgetting. AIIE Transactions. 13:1981;91-95
23. Taha, H.A., 1997. Operations Research: An Introduction, 6th Edition, Prentice-Hall. Inc., New York.
24. Tzur M. Learning in setups: Analysis, minimal forecast horizons, and algorithms. Management Science. 42:1996;1732-1743
25. Wagner H.M., Whitin T.M. Dynamic version of the economic lot size model. Management Science. 5:1958;89-96